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Finding the Fourth Proportional to 22,716.28, 34,031.56 and 11,630

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Solution

The fourth proportional to 22,716.28, 34,031.56 and 11,630 is: 17,423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,716.28 : 34,031.56 = 11,630 : x
  2. Step 2: Convert to fraction form
    22,716.28/34,031.56 = 11,630/x
  3. Step 3: Cross multiply
    22,716.28x = 34,031.56 × 11,630
  4. Step 4: Simplify right side
    22,716.28x = 395,787,042.80
  5. Step 5: Solve for x
    x = 395,787,042.80/22,716.28
  6. Step 6: Final answer
    x = 17,423.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.